{
  "id": "2405.18821",
  "version": "v1",
  "published": "2024-05-29T07:01:37.000Z",
  "updated": "2024-05-29T07:01:37.000Z",
  "title": "Hecke and Artin monoids and their homomorphisms",
  "authors": [
    "Arkady Berenstein",
    "Jacob Greenstein",
    "Jian-Rong Li"
  ],
  "comment": "AMSLaTeX, 89 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "This work was motivated by a striking observation that parabolic projections of Hecke monoids map respect all parabolic elements. We found other classes of homomorphisms of Hecke monoids with the same property and discovered that many of them lift to homomorphisms of covering Artin monoids with a similar property. It turned out that they belong to a much larger class (in fact, a category) of homomorphisms of Artin monoids, most of which appear to be new.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-29T07:01:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20C08"
    ],
    "keywords": [
      "homomorphisms",
      "hecke monoids map respect",
      "parabolic projections",
      "covering artin monoids",
      "larger class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 89,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}